mathsurgery - Equations formulae, identities and expressions year 9

All
• Conjecture and generalise
• Use logical argument to interpret the mathematics in a given context or to establish the truth of a statement
• Recognise that letter symbols play different roles in equations, formulae and functions; know the meanings of the words formula and function• Understand that algebraic operations, including the use of brackets, follow the rules of arithmetic; use index notation for small positive integer powers • Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket
• Substitute integers into simple formulae

Most
• Justify the mathematical features drawn from a context and the choice of approach
• Manipulate numbers, algebraic expressions and equations
• Distinguish the different roles played by letter symbols in equations, identities, formulae and functions
• Use index notation for integer powers and simple instances of the index laws
• Simplify or transform algebraic expressions by taking out single-term common factors
• Substitute numbers into expressions and formulae
• Add simple algebraic fractions

Some
• Justify generalisations, arguments or solutions
• Know and use the index laws in generalised form for multiplication and division of integer powers
• Square a linear expression; expand the product of two linear expressions of the form x ± n and simplify the corresponding quadratic expression
• Establish identities such as a2 – b2 = (a + b)(a – b)

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Equations formulae, identities and expressions year 9